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The tire pressure monitoring system TPMS one the driver when the tire pressure of the vehicle is 27% below the target tire pressure supposed to target tire pressure of a certain car is 31 psi. (A) At what psi will the TPMS trigger a warning for this car? (B) Suppose the tire pressure is a

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- Suppose a geyser has a mean time between eruptions of 91 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 20 minutes. Complete parts (a) through (e) below. Question content area bottom Part 1 (a) What is the probability that a randomly selected time interval between eruptions is longer than 101 minutes? Part 2 The probability that a randomly selected time interval is longer than 101 minutes is approximately enter your response here. (Round to four decimal places as needed.) Part 3 (b) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 101 minutes? Part 4 The probability that the mean of a random sample of 10 time intervals is more than 101 minutes is approximately enter your response here. (Round to four decimal places as needed.) Part 5 (c) What is the probability that a random sample of 20 time intervals between eruptions has a mean longer than 101…arrow_forwardCurrent Attempt in Progress According to the records of an electric company serving the Boston area, the mean electricity consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electricity consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1903 kilowatt-hours. Round your answer to four decimal places. P = i Hint Save for Later Attempts: unlimited Submit Answerarrow_forwardHI how would u figure this out?arrow_forward
- Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.5. (Round your answers to four decimal places.) n USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 14 pins is at least 51? 0.6667 (b) What is the (approximate) probability that the sample mean hardness for a random sample of 39 pins is at least 51?arrow_forwardParamesan cheese is aged for an average of 24 months to allow it to develop the desire richness in flavor the standard deviation for the length of time Parmesan cheese is aged is 3.7 months Find the probability that in a sample of 20 wheels of Parmesan cheese the cheese is aged for an average of at most 22 monthsarrow_forwardQuestion Heip Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard deviation of a = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 71 beats per minute and 79 beats per minute. The probability is O. (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 71 beats per minute and 79 beats per minute. The probability is O. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample…arrow_forward
- Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean 194.55 standard deviation 94.78 X X (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) 0.6576 X (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.arrow_forwardVehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.arrow_forwardMultiple questionsarrow_forward
- Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard deviation of 24. A pollster draws a sample of 90 people to interview. Part 1 of 5 (a) What is the probability that the sample mean income is less than 39? Round the answer to at least four decimal places. The probability that the sample mean income is less than 39 is? Part 2 of 5 (b) What is the probability that the sample mean income is between 40 and 43 ? Round the answer to at least four decimal places. The probability that the sample mean income is between 40 and 43 is? Part 3 of 5 (c) Find the 60th percentile of the sample mean. Round the answer to at least one decimal place. The 60th percentile of the sample mean is? . Part 4 of 5 (d) Would it be unusual for the sample mean to be less than 35? Round the answer to at least four decimal places. It ________ unusual because the probability of the sample mean…arrow_forwardThe amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable.(a) Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean_________ml (b) Where should the mean be set to ensure a 99 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean______ml (c)Where should the mean be set to ensure a 99.9 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean______mlarrow_forward
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